基于Drucker公设的双剪准则理论推导

The Deduction of Double Shearing Yield Criterion Based on Drucker Postulation

基于Drucker公设,利用塑性体应变增量、等效塑性应变增量等塑性指标,假定金属材料的塑性体应变增量为零,设材料屈服时的dεp与应力状态无关,通过严密的数学导出双剪准则,并在数学上解释双剪准则.

Double shearing criterion and most of other yield criteria for metal were set up on the base of researching results. By using the two plastic indexes,i, e. the plastic volumetric-strain increment and the equivalent plastic strain increment under yield condition, the double shearing yield criterion is strictly deduced on the basis of plastic flow rule drawn from plastic flow rule of Drucker postulation. A mathematical explanation is given to the double shearing yield criterion.